Sample questions
You've seen the pattern — here are a few of the actual PYQs.
ESE2024
Suppose we do not know the path of a hang glider, but only its acceleration vector a(t) = −(3 cos t)i − (3 sin t)j + 2k. We also know that initially (at time t = 0) the glider departed from the point (4, 0, 0) with velocity v(0) = 3j. What is the glider's position as a function of t?
- A r(t) = (1 + 3 cos t)i + 3 sin tj + t²k
- B r(t) = (−1+3 cos t)i + 3 sin tj + t²k
- C r(t) = (1 − 3 cos t)i + 3 sin tj + t²k
- D r(t) = (1 + 3 cos t)i + 3 sin tj + t²k ✓
✓ Correct answer: (D)
Engineering › Engineering Mathematics & General
ESE2022
The value of ..J( ) dx is 2 2x + 1 0 (take positive values of square roots only)
- A 1
- B 2
- C 3 ✓
- D 4 2022 ESE
✓ Correct answer: (C)
Engineering › Engineering Mathematics & General
ESE2022
By integration the area bounded by the three straight lines y 4 - x, y 3x and 3y=x is
- A 2 square units
- B 3 square units
- C 4 square units ✓
- D 5 square units
✓ Correct answer: (C)
Engineering › Engineering Mathematics & General
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